Offered by:Integrated Studies in Ed
Degree:Bachelor of Education
Program Requirement:
The Bachelor of Education (B.Ed.) – Secondary Mathematics program requires 120 credits and leads to teacher certification. Students who have not completed Quebec CEGEP, French Baccalaureate, International Baccalaureate, or at least one year of university studies prior to commencing the B.Ed. must also complete a minimum of 30 credits of Freshman courses (in addition to the 120 credits for the program) for a total of 150 credits.
Note: Students entering this program from CEGEP or with Advanced Standing should have a strong background in their Mathematics courses. Students entering from CEGEP or with Advanced Standing without having completed two calculus courses and one linear algebra course (MATH 133, MATH 140, and MATH 141 or their equivalents) will be required to make up any deficiencies in these courses over and above the degree requirements.
The aim of the B.Ed. Secondary Education program is to prepare strong beginning teachers for the secondary school level.
This integrated program consists of courses in Education (including field experiences) and courses in the subject area of the teaching specialization. Students also take 6 credits of free electives. For all teacher education programs, course sequencing is highly structured. For this reason, the advising information in this eCalendar section must be used in conjunction with the summary companion document (Program Overview) found at http://www.mcgill.ca/dise/progs/secmath.
The Secondary Mathematics program provides students with the learning opportunities needed to become proficient Mathematics teachers.
Please note that graduates of teacher education programs are recommended by the University to the Quebec Ministry of Education for Quebec teacher certification. For more information about teacher certification in Quebec, please refer to the Faculty of Education section under "Overview of Faculty Programs", "Undergraduate Education Programs", and "Quebec Teacher Certification".
Freshman Program
Students normally complete 30 credits in their Freshman (U0) year.
The Freshman year is the time to take introductorylevel courses in Mathematics, as well as to explore areas that are not normally taken as teachable subject areas within B.Ed. programs (e.g., Sociology, Psychology, Political Science, etc.). Students should also investigate the possibility of taking one of the First Year Seminar courses offered by the Faculty of Arts or the Faculty of Science.
Students in the Secondary Mathematics program must complete three Math prerequisite courses in their Freshman year, MATH 133, MATH 140, and MATH 141.
In addition, students select courses from the recommended list below or other courses in consultation with the Program Adviser. The French Second Language (FRSL) courses suggested require a placement test to determine the appropriate course level.

EDEM 220
Contemporary Issues in Ed.
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Admin & Policy Studies in Ed: An introduction to contemporary issues in education in local, national and international contexts, including a critical perspective on educational issues by drawing on a variety of analytical frameworks.
Offered by: Integrated Studies in Ed
 Terms
 Instructors
 Mitchell Miller, Jason Lister

FRSL 101
Beginners French 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
French as a Second Language: A comprehensive introduction to basic vocabulary, grammatical structures and speech patterns of written and oral French for students in any degree program having no previous knowledge of French. Learning to communicate at a functional level in a Frenchspeaking environment. Short essays, cultural readings, mandatory lab practice.
Offered by: French Language Centre
 Prerequisite: Placement test
 Language laboratory and oral practice with a French monitor if available.
 Placement test. No knowledge of French.
 Restriction: Not open to students who have taken FRSL 101D1/D2, FRSL 103, FRSL 104, or FRSL 105.
 Terms
 Instructors
 Viviane KwanLock, Marion Vergues, Laura Bourrel, Cléo F Mathieu, Zeina Maatouk, Anne Lechowicz

FRSL 102
Beginners French 2
3 Credits
Offered in the:
 Fall
 Winter
 Summer
French as a Second Language: A comprehensive introduction to basic vocabulary, grammatical structures and speech patterns of written and oral French for students in any degree program having no previous knowledge of French. Learning to communicate at a functional level in a Frenchspeaking environment. Short essays, cultural readings, mandatory lab practice.
Offered by: French Language Centre
 Language laboratory and oral practice with a French monitor if available.
 Prerequisite: FRSL 101
 Terms
 Instructors
 Marion Vergues, Laura Bourrel

FRSL 207D1
Elementary French 01
3 Credits
Offered in the:
 Fall
 Winter
 Summer
French as a Second Language: This twoterm course uses a taskbased approach to provide students with authentic materials related to Canadian culture and prepares them for real life communication. Therefore, class time will be mostly dedicated to the completion of communicative tasks which often rely on the use of technology (mobile apps,
blogs and other online tools). This course tackles different topics that students can relate to in their personal, social and academic life, and provides a review and further training in elementary language structures to develop their communication skills and digital literacy in French.
Offered by: French Language Centre
 Terms
 Instructors
 Christine Petcoff, Alida Soucé, MariePhilip Mathieu

FRSL 207D2
Elementary French 01
3 Credits
Offered in the:
 Fall
 Winter
 Summer
French as a Second Language: See FRSL 207D1 for course description.
Offered by: French Language Centre
 Terms
 Instructors
 Christine Petcoff, Alida Soucé, MariePhilip Mathieu

FRSL 211D1
Oral and Written French 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
French as a Second Language: Language lab attendance required. Grammar review, comprehension, vocabulary development, selected readings and group discussions.
Offered by: French Language Centre
 3 hours, plus language laboratory
 Prerequisite(s): FRSL 207D1 and 207D2, or 208, or Placement test
 Restriction: Not open to students from Québec
 Students must register for both FRSL 211D1 and FRSL 211D2.
 No credit will be given for this course unless both FRSL 211D1 and FRSL 211D2 are successfully completed in consecutive terms
 FRSL 211D1 and FRSL 211D2 together are equivalent to FRSL 211
 Terms
 Instructors
 Chantal A Creck, Samantha C Damay

FRSL 211D2
Oral and Written French 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
French as a Second Language: See FRSL 211D1 for course description.
Offered by: French Language Centre
 Prerequisite(s): FRSL 207D1 and 207D2, or 208, or Placement test
 No credit will be given for this course unless both FRSL 211D1 and FRSL 211D2 are successfully completed in consecutive terms
 FRSL 211D1 and FRSL 211D2 together are equivalent to FRSL 211
 Terms
 Instructors
 Chantal A Creck, Samantha C Damay

MATH 133
Linear Algebra and Geometry
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
Offered by: Mathematics and Statistics
 3 hours lecture, 1 hour tutorial
 Prerequisite: a course in functions
 Restriction(s): 1) Not open to students who have taken CEGEP objective 00UQ or equivalent. 2) Not open to students who have taken or are taking MATH 123, except by permission of the Department of Mathematics and Statistics.
 Terms
 Instructors
 Jeremy Macdonald, Antoine Giard, Miguel Ayala, Romain Branchereau

MATH 140
Calculus 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
Offered by: Mathematics and Statistics
 3 hours lecture, 1 hour tutorial
 Prerequisite: High School Calculus
 Restriction(s): 1) Not open to students who have taken MATH139 or MATH 150 or CEGEP objective 00UN or equivalent. 2) Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics.
 Each Tutorial section is enrolment limited
 Terms
 Instructors
 Sidney Trudeau, Marcin Sabok, Artem Kalmykov

MATH 141
Calculus 2
4 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): The definite integral. Techniques of integration. Applications. Introduction to sequences and series.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 139 or MATH 140 or MATH 150.
 Restriction(s): Not open to students who have taken CEGEP objective 00UP or equivalent.
 Restriction(s): Not open to students who have taken or are taking MATH 122,except by permission of the Department of Mathematics and Statistics.
 Each Tutorial section is enrolment limited
 Terms
 Instructors
 Andrei Zlotchevski, Sidney Trudeau, Hazem A Hassan
 Sidney Trudeau

RELG 204
Judaism, Christianity&Islam
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Religious Studies: An introduction to the beliefs, practices, and religious institutions of these three world religions.
Offered by: Religious Studies
 Terms
 Instructors
 Daniel M Cere, Armando Salvatore

RELG 207
Intro to Study of Religions
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Religious Studies: This course is an introduction to classic and contemporary approaches to the academic study of religions. This includes perspectives from philosophy, theology, anthropology, sociology, psychology, phenomenology, and feminism. Students are also exposed to applications of these perspectives from visiting scholars who treat some aspect of a religious tradition in light of currentday interests and events. The primary objective is to introduce students to the principal theories and methods that have shaped our understanding of religion, its various meanings as well as its roles and functions in society.
Offered by: Religious Studies
 Restriction(s): Not open to students who have taken RELG 255.
 Winter

WCOM 250
Research Essay and Rhetoric
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Written and Oral Communication: Academic researchbased writing across the disciplines. Article summary, critical analysis, rhetorical strategies, citation and paraphrase of academic sources, and editing for cohesion and clarity.
Offered by: McGill Writing Centre
 Restriction: Not open to students who have taken CESL 500 or CEAP 250 or WCOM 255. Only open to students in degree programs  all years and faculties.
 Intended for students whose first language is English.
 Entrance test: Short essay first day of classes.
 Terms
 Instructors
 Richard R Cooper, Yvonne Hung, Zachary J Abram, André R Babyn, Kodi Scheer
 Yvonne Hung
Required Courses (60 credits)

EDEC 201
1st Year Professional Seminar
1 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: Orientation to the culture and community of school and to teaching as a profession. Focus on the general functioning of schools and complexity of the teacher role. Competencies and working professional portfolios will be addressed.
Offered by: Integrated Studies in Ed
 Corequisite: EDFE 200
 Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students only
 Terms
 Instructors
 Jessica Saada, Allison Holloway, Stephanie Ho, Jen A Hinkkala

EDEC 215
English Exam for Teacher Cert.
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: The English Exam for Teacher Certification (EETC) is a Quebec Ministry of Educationrequired component of the B.Ed. degree. The exam is coordinated by an independent organization, the Centre for the English Exam for Teacher Certification (CEETC). Consists of a 2hour exam designed to assess teacher
candidates' competency in the language of instruction. Must be completed before the 3rd Field Experience. Students must register for EDEC 215 and register for the EETC on the CEETC website. Students who do not pass after four attempts require permission from the Internships & Student Affairs Office to retake the exam.
Offered by: Integrated Studies in Ed
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

EDEC 233
Indigenous Education
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: An exploration of Indigenous knowledge and pedagogy, primarily in Canada but also worldwide. Consideration of the diverse social, cultural, linguistic, political, and pedagogical histories of Indigenous communities. Examines how a teacher's professional identity and practice can be influenced by an understanding of Indigenous knowledge and worldviews.
Offered by: Integrated Studies in Ed
 There is a $25 fee used to purchase essential materials needed to provide students with first hand insight into indigenous ways of knowing. Fees are also used to remunerate indigenous elders, knowledge keepers and/or cultural presenters that provide cultural or pedagogical expertise.
 Terms
 Instructors
 Michelle L Kennedy
 Geraldine M King, Michelle L Kennedy

EDEC 247
Policy Issues:QC&Indigenous Ed
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: The organization of Quebec education, including Indigenous education, from historical, political, social, cultural and legal perspectives. The implications and contributions of policy decisions to schools, students, and families.
Offered by: Integrated Studies in Ed
 Restriction: Not open to students who have taken EDEM 405.
 **Due to the intensive nature of this course, the standard add/drop and withdrawal deadlines do not apply. Add/drop is the second lecture day and withdrawal is the fifth lecture day.
 Terms
 Instructors
 Tino Bordonaro, Frederick Farmer

EDEC 254
Second Prof Seminar (Sec)
1 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: Preparation for the second field experience through development of basic practices in planning and teaching in secondary school classrooms. Competencies and professional portfolio will be addressed.
Offered by: Integrated Studies in Ed
 Corequisite: EDFE 254 or EDFE 254D1
 Restrictions: Open to B.Ed. Sec and concurrent B.Sc. and B.Ed. students.
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

EDEC 260
Philosophical Foundations
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: Ideas essential for the development of a coherent educational theory and sound professional practice. Reflections on: the nature of the person, of reality, of knowledge, and of value; the aims of education, the nature of the school and the curriculum, the roles and responsibilities of professional educators.
Offered by: Integrated Studies in Ed
 Restrictions: Not open to students who have taken EDER 400. Students who have taken or are taking EDEC 261 cannot take this course for credit.
 Terms
 Instructors
 Nasim Noroozi, Jayne Malenfant, Helal H Dhali

EDEC 262
Media, Tech. and Education
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: Orientation to the equipment and systems of educational technology. Examination of theories of educational technology, media education and technology education and the exploration and development of possible applications in school settings.
Offered by: Integrated Studies in Ed
 **Due to the intensive nature of this course, the standard add/drop and withdrawal deadlines do not apply. Add/drop is the second lecture day and withdrawal is the fourth lecture day.
 Terms
 Instructors
 Michael B Lipset, Joseph B Margallo, Ashley Jarvis
 Michael B Lipset

EDEC 351
Third Prof Seminar (Sec)
2 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: Professional portfolios and competencies will be addressed. Preparation for the third field experience through engaging in the full spectrum of unit/lesson planning, critical analysis and selfreflection. Professional portfolios and competencies will be addressed.
Offered by: Integrated Studies in Ed
 Terms
 Instructors
 Jason Lister, Hannah R Chestnutt

EDEC 404
4th Yr Prof. Seminar (Sec)
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: Preparation for the final field experience and entry into the teaching profession. Emphasis will be placed on developing the ability to demonstrate ethical and responsible professional behaviour in the performance of duties across all professional competencies. Final transition to showcase working professional portfolios will be addressed.
Offered by: Integrated Studies in Ed
 Terms
 Instructors
 Limin Jao, Aron L Rosenberg

EDES 350
Classroom Practices
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Secondary Education: Competencybased discipline skills and methods of classroom management, emphasizing the relationship between theory and practice; the rationale for various approaches to classroom management; strategies for developing instruction that focus attention and reduce offtask behaviour.
Offered by: Integrated Studies in Ed
 Terms
 Instructors
 Constance Buki, Terry Price

EDES 353
Teaching Sec. Mathematics 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Secondary Education: Provides insight and understanding of the Quebec secondary mathematics program. Focuses on key areas of what secondary mathematics teachers need to know and be able to do to support students' development of mathematical understanding (focus on mathematics content, students' reasoning, and pedagogy).
Offered by: Integrated Studies in Ed
 Prerequisite(s): 18 credits in university mathematics courses at or above the 200 level.

EDES 453
Teaching Sec. Mathematics 2
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Secondary Education: This course supplements EDES 353 for students who select Mathematics as a single teachable subject. Evaluation of learning in Mathematics, obstacles to learning, technological aids to learning.
Offered by: Integrated Studies in Ed
 Prerequisite: EDES 353
 Restriction: Not open to students who have taken EDEC 338

EDFE 200
First Field Exp. (K/Elem&Sec)
2 Credits
Offered in the:
 Fall
 Winter
 Summer
Student Teaching: Students are assigned to a school for a "participant observer" field experience. Students are expected to apprise themselves of Field Experience dates, duration and responsibilities as outlined on the Internships & Student Affairs website at http://www.mcgill.ca/isa.
Offered by: Education  Dean's Office
 Corequisite: EDEC 201
 Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students

EDFE 254
Second Field Exp. (Sec)
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Student Teaching: Supervised student teaching. Students are expected to apprise themselves of Field
Experience dates, duration and responsibilities as outlined on the Internships and Student Affairs website at www.mcgill.ca/isa.
Offered by: Education  Dean's Office
 Prerequisite: EDFE 200 or EDFE 209 or EDFE 246 or EDFE 205
 Corequisite: EDEC 254 or EDEC 254D1
 Note: Expectations for this field experience, according to your program, can be found at www.mcgill.ca/isa.
 Restrictions: Restriction: Open to B.Ed. in Secondary English, B.Ed. in Secondary Social Sciences, B.Ed. in Secondary Mathematics, and B.Ed. in Secondary Science and Technology students.
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

EDFE 351
Third Field Exp. (Sec)
8 Credits
Offered in the:
 Fall
 Winter
 Summer
Student Teaching: Supervised student teaching in a school. Students are expected to apprise themselves of Field Experience, dates, duration and responsibilities as outlined on the Internships & Student Affairs Office website http://www.mcgill.ca/isa.
Offered by: Education  Dean's Office

EDFE 451
Fourth Field Exp. (Sec)
7 Credits
Offered in the:
 Fall
 Winter
 Summer
Student Teaching: Supervised student teaching in a school. Students will be expected to assume a much increased responsibility for student learning, classroom management, and evaluation. Students are expected to apprise themselves of Field Experience dates, duration and responsibilities as outlined on the Internships and Student Affairs website at www.mcgill.ca/isa.
Offered by: Education  Dean's Office
 Prerequisites: EDFE 351.
 Corequisite: EDEC 404.
 Restriction: Open to B.Ed. Secondary students only
 Note: Expectations for this field experience, according to your program, can be found at www.mcgill.ca/isa.
 Terms
 Instructors
 Yasmine Zein
 Yasmine Zein

EDPE 300
Educational Psychology
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Ed Psych & Couns (Psychology): Selected theories, models, and concepts relevant to planning and reflecting upon educational practice and improvement. Overview of development, learning, thinking, motivation, individual difference, etc. In relation to applications in classroom teaching and learning, the complementary role of counsellors and psychologists, educational computing and technology. The Youth Protection Act.
Offered by: Educational&Counselling Psych
 Terms
 Instructors
 Gus Appignanesi, Flavio K Murahara

EDPE 304
Measurement and Evaluation
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Ed Psych & Couns (Psychology): The purposes of examinations. Causes of complaints about examinations. Equalizing means and dispersions in distribution of marks. Standardized scores. The percentile system. Essay and objectivetype examinations. Taxonomies of educational objectives. Validity and reliability: item analysis.
Offered by: Educational&Counselling Psych

EDPI 309
Diverse Learners
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Ed Psych & Couns (Inclusive): Inclusion debates; review of the evolution of the history of inclusive education; models of development ( ecosystemic models); characteristics, teaching practices; teachers' roles in inclusive classrooms. Overview of characteristics, causes, needs, and teaching strategies for diverse and exceptional students, teaching and learning for differences in intellectual, emotional, behavioural, sensory, physical and learning domains found in effective inclusive classrooms. Working with families.
Offered by: Educational&Counselling Psych
 Restriction: Open to B.Ed. and Concurrent students only.
 Offered through Continuing Education or Summer Studies.
 Prerequisite: EDPI 341
 Terms
 Instructors
 There are no professors associated with this course for the 20242025 academic year

EDPI 341
Instruction in Inclusive Schls
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Ed Psych & Couns (Inclusive): Developing, planning, implementing and evaluating effective learning programs for diverse learners, and consideration of their more general applicability. Adapting curriculum and instruction for learners with varying abilities, learning styles, and needs. Collaboration with students, families, and other educators (or stakeholders) in the instructional process. Application of adaptations at the classroom and school level for all students in inclusive schools.
Offered by: Educational&Counselling Psych
 Restriction: Open to B.Ed. students only
 Also offered through Continuing Education.
 Prerequisite: EDPE 300.
 Terms
 Instructors
 Caroline Temcheff, Gus Appignanesi
Complementary Courses (3 credits)
3 credits selected as described below.
Multicultural Education
3 credits from:

EDEC 248
Equity and Education
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: Introduction to and exploration of contemporary issues and theories about equity in education and society in Quebec/Canada from a range of perspectives, including
the historical, political, social, and economic. Provides learning opportunities for future educators to critically reflect upon and engage with equity issues and concerns in relation to schooling, including the exploration of classroom resources and activities that foster antiracism, antioppression and intercultural approaches.
Offered by: Integrated Studies in Ed
 Restriction: Not open to students who have taken or are taking EDEC 249.
 Terms
 Instructors
 Melanie BennettStonebanks, Nagui Demian
 Emmanuel Tabi

EDEC 249
Global Ed. and Social Justice
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Curriculum and Instruction: A crosscurricular, interdisciplinary approach to teaching/creating learning experiences for students. It will foster critical thinking and nurture lifelong global understanding, active engagement and participation in relation to questions of social, economic, and environmental justice, by infusing these issues in the classroom.
Offered by: Integrated Studies in Ed
 Restriction: Not open to students who have taken or are taking EDEC 248.
Secondary Mathematics Subject Area (51 credits)
Secondary Mathematics students complete 51 credits selected in consultation with the Program Adviser in one of two options.
Option 1
21 credits from the list of "Required Mathematics Courses" and
30 credits from the list of "Complementary Mathematics Courses"
Or
Option 2:
21 credits from the list of "Required Mathematics Courses" and
15 credits from the list of "Complementary Mathematics Courses"
And
15 credits of designated courses in another unofficial "teachable" subject area (English, Social Sciences, or Science and Technology  see an adviser for courses).
Required Mathematics Courses (21 credits)

MATH 222
Calculus 3
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Offered by: Mathematics and Statistics
 Terms
 Instructors
 Brent Pym, Damien Tageddine

MATH 223
Linear Algebra
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 133 or equivalent
 Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
 Terms
 Instructors
 Shereen Elaidi, Hugues Bellemare
 Jeremy Macdonald

MATH 228
Classical Geometry
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): This course is designed to reintroduce classical Euclidean geometry to tomorrow’s teachers. Topics include: Axioms and Euclid’s Elements, the triangle theorem, the Pythagorean Theorem and its extensions, basic constructions and similar triangles, Thales’ theorems and cyclic quadrilaterals, the centers of triangles, the ninepoint circle, conic sections and analytic geometry, the prismatoid formula, the Platonic solids, nonEuclidean geometries.
Offered by: Mathematics and Statistics
 Restrictions: Cannot be taken for credit by students in Mathematics and Statistics programs.
 Not open to students who have taken or are taking MATH 348 or MATH 398.
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

MATH 315
Ordinary Differential Eqns
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Offered by: Mathematics and Statistics
 Terms
 Instructors
 Courtney Paquette
 Niky Kamran

MATH 323
Probability
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 141 or equivalent.
 Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
 Restriction: Not open to students who have taken or are taking MATH 356
 Terms
 Instructors
 Alia Sajjad
 Tharshanna Nadarajah

MATH 324
Statistics
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 323 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 357
 You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
 Terms
 Instructors
 Tharshanna Nadarajah
 Masoud Asgharian

MATH 338
History & Philosophy of Math
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Egyptian, Babylonian, Greek, Indian and Arab contributions to mathematics are studied together with some modern developments they give rise to, for example, the problem of trisecting the angle. European mathematics from the Renaissance to the 18th century is discussed, culminating in the discovery of the infinitesimal and integral calculus by Newton and Leibnitz. Demonstration of how mathematics was done in past centuries, and involves the practice of mathematics, including detailed calculations, arguments based on geometric reasoning, and proofs.
Offered by: Mathematics and Statistics
Complementary Mathematics Courses
(30 OR 15 credits)
3 credits from:

MATH 235
Algebra 1
3 Credits*
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups.
Offered by: Mathematics and Statistics
 Fall
 3 hours lecture; 1 hour tutorial
 Prerequisite: MATH 133 or equivalent
 Restrictions: Not open to students who have taken or are taking MATH 245.

MATH 242
Analysis 1
3 Credits*
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Offered by: Mathematics and Statistics
 Fall
 Prerequisite: MATH 141
 Restriction(s): Not open to students who are taking or who have taken MATH 254.
* Should be taken in Year 1 or Year 2
27 credits from the list below for Secondary Mathematics Option 1 students or
12 credits from the list below for Secondary Mathematics Option 2 students

COMP 202
Foundations of Programming
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Computer Science (Sci): Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
Offered by: Computer Science
 3 hours
 Restrictions: Not open to students who have taken or are taking COMP 204, COMP 208, or GEOG 333; not open to students who have taken or are taking COMP 206 or COMP 250.
 COMP 202 is intended as a general introductory course, while COMP 204 is intended for students in life sciences, and COMP 208 is intended for students in physical sciences and engineering.
 To take COMP 202, students should have a solid understanding of precalculus fundamentals such as polynomial, trigonometric, exponential, and logarithmic functions.
 Terms
 Instructors
 Faten M'hiri
 Faten M'hiri

COMP 230
Logic and Computability
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Computer Science (Sci): Propositional Logic, predicate calculus, proof systems, computability Turing machines, ChurchTuring thesis, unsolvable problems, completeness, incompleteness, Tarski semantics, uses and misuses of Gödel's theorem.
Offered by: Computer Science
 3 hours
 Prerequisite: CEGEP level mathematics.
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

EDTL 520
Persp on Knowl in Math & Sci
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Education Teaching & Learning: A variety of perspectives on construction of knowledge in mathematics and science and how the products of scientific and mathematical practices are shaped by broader social, cultural, and political forces.
Offered by: Integrated Studies in Ed
 Prerequisite: Students must have completed, with a grade of C or higher, a minimum of 24 credits in Mathematics and/or Science courses.
 Restriction: Restricted to MATL Science & Technology, MATL Mathematics, B.Ed. Secondary Science & Technololgy and B.Ed. Secondary Mathematics students or by permission of instructor.
 Not open to students who have taken EDEC 646 or EDEC 647.

MATH 235
Algebra 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups.
Offered by: Mathematics and Statistics
 Fall
 3 hours lecture; 1 hour tutorial
 Prerequisite: MATH 133 or equivalent
 Restrictions: Not open to students who have taken or are taking MATH 245.

MATH 236
Algebra 2
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Linear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and
eigenvalues. Diagonalizable operators. CayleyHamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric
matrices. Canonical forms.
Offered by: Mathematics and Statistics

MATH 242
Analysis 1
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Offered by: Mathematics and Statistics
 Fall
 Prerequisite: MATH 141
 Restriction(s): Not open to students who are taking or who have taken MATH 254.

MATH 243
Analysis 2
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.
Offered by: Mathematics and Statistics

MATH 314
Advanced Calculus
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
Offered by: Mathematics and Statistics

MATH 316
Complex Variables
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Algebra of complex numbers, CauchyRiemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.
Offered by: Mathematics and Statistics

MATH 317
Numerical Analysis
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
Offered by: Mathematics and Statistics

MATH 318
Mathematical Logic
3 Credits**
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Propositional logic: truthtables, formal proof systems, completeness and compactness theorems, Boolean algebras; firstorder logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem.
Offered by: Mathematics and Statistics

MATH 319
Partial Differential Equations
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, SturmLiouville theory, Fourier series, boundary and initial value problems.
Offered by: Mathematics and Statistics

MATH 326
Nonlinear Dynamics and Chaos
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, PoincareBendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
Offered by: Mathematics and Statistics

MATH 327
Matrix Numerical Analysis
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): An overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems.
Offered by: Mathematics and Statistics
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

MATH 329
Theory of Interest
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Simple and compound interest, annuities certain, amortization schedules, bonds, depreciation.
Offered by: Mathematics and Statistics
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

MATH 340
Discrete Mathematics
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
Offered by: Mathematics and Statistics

MATH 346
Number Theory
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Divisibility. Congruences. Quadratic reciprocity. Diophantine equations. Arithmetical functions.
Offered by: Mathematics and Statistics
 Winter
 Prerequisite: MATH 235 or consent of instructor
 Restriction: Not open to students who have taken or are taking MATH 377.
 Terms
 Instructors
 There are no professors associated with this course for the 20242025 academic year

MATH 348
Euclidean Geometry
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Points and lines in a triangle. Quadrilaterals. Angles in a circle. Circumscribed and inscribed circles. Congruent and similar triangles. Area. Power of a point with respect to a circle. Ceva’s theorem. Isometries. Homothety. Inversion.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 133 or equivalent or permission of instructor.
 Restriction: Not open to students who have taken MATH 398.
 Terms
 This course is not scheduled for the 20242025 academic year
 Instructors
 There are no professors associated with this course for the 20242025 academic year

MATH 417
Linear Optimization
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): An introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interiorpoint methods, quadratic optimization, applications in game theory.
Offered by: Mathematics and Statistics

MATH 423
Applied Regression
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Multiple regression estimators and their properties. Hypothesis tests and confidence
intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.
Offered by: Mathematics and Statistics

MATH 447
Intro. to Stochastic Processes
3 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Conditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
Offered by: Mathematics and Statistics
 Winter
 Prerequisite: MATH 323
 Restriction: Not open to students who have taken or are taking MATH 547.

MATH 523
Generalized Linear Models
4 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Exponential families, link functions. Inference and parameter estimation for generalized linear models; model selection using analysis of deviance. Residuals. Contingency table analysis, logistic regression, multinomial regression, Poisson regression, loglinear models. Multinomial models. Overdispersion and Quasilikelihood.
Applications to experimental and observational data.
Offered by: Mathematics and Statistics

MATH 524
Nonparametric Statistics
4 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Distribution free procedures for 2sample problem: Wilcoxon rank sum, SiegelTukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: KruskalWallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chisquare, likelihood ratio, KolmogorovSmirnov tests. Statistical software packages used.
Offered by: Mathematics and Statistics
 Fall
 Prerequisite: MATH 324 or equivalent
 Restriction: Not open to students who have taken MATH 424

MATH 525
Sampling Theory & Applications
4 Credits
Offered in the:
 Fall
 Winter
 Summer
Mathematics & Statistics (Sci): Simple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 324 or equivalent
 Restriction: Not open to students who have taken MATH 425

PHIL 210
Intro to Deductive Logic 1
3 Credits**
Offered in the:
 Fall
 Winter
 Summer
Philosophy: An introduction to propositional and predicate logic; formalization of arguments, truth tables, systems of deduction, elementary metaresults, and related topics.
Offered by: Philosophy
 Restriction: Not open to students who are taking or have taken MATH 318
** Students cannot receive credit for both.
Unofficial "Teachable" Subject Area
15 credits
15 credits of designated courses for Secondary Mathematics Option 2 students (English, Social Sciences, or Science and Technology  see an adviser for course selection)
Electives (6 credits)
Note: Students who have chosen to do 36 credits in one teachable subject and 15 credits in another will use 3 credits of electives to take the Secondary Teaching Methods course needed for their second unofficial teachable subject.